If \( f(x), g(x), h(x) \) are three polynomial functions of degree ...
If \( f(x), g(x), h(x) \) are three polynomial functions of degree two and \( \phi(x)=\left|\begin{array}{ccc}f(x) & g(x) & h(x) \\ f^{\prime}(x) & g^{\prime}(x) & h^{\prime}(x) \\ f^{\prime \prime}(x) & g^{\prime \prime}(x) & h^{\prime \prime}(x)\end{array}\right| \), then the value of \( \lim _{x \rightarrow 2} \frac{\phi(x)-\phi(4-x)}{\sin (x-2)} \) is equal to :
(a) 0
(b) 1
(c) 2
(d) 4
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